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Finding the Fourth Proportional to 409.57, 613.91 and 200.89

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Solution

The fourth proportional to 409.57, 613.91 and 200.89 is: 301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.57 : 613.91 = 200.89 : x
  2. Step 2: Convert to fraction form
    409.57/613.91 = 200.89/x
  3. Step 3: Cross multiply
    409.57x = 613.91 × 200.89
  4. Step 4: Simplify right side
    409.57x = 123,328.38
  5. Step 5: Solve for x
    x = 123,328.38/409.57
  6. Step 6: Final answer
    x = 301.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.